Answer:
320 Student Tickets
180 Adult Tickets
Step-by-step explanation:
You can solve this problem by using system of equations. First, we need to figure out our equations.
Equation 1: x as students and y as adults
We get this equation because the total tickets sold was 500. The x represents the students sold to students, and the y represents the tickets sold to adults.
Equation 2:
We get this equation based on the prices. Each student ticket costs $3, and each adult ticket costs $5. The total amount earned was $1850.
Now that we have out equations, we can use system of equations to find our students and adults.
Typically elimination is the easiest strategy because you are able to cross out variables.
Becomes:
We see that both equations now have 3x. We can cancel out 3x.
Now that we know y=180, we can plug it back into one of our equations to find x.
320 student tickets and 180 adult tickets were sold.
The absolute value is defined as
So for example, if <em>x</em> = 3, then |<em>x</em>| = |3| = 3, since 3 is positive. On the other hand, if <em>x</em> = -5, then |<em>x</em>| = |-5| = -(-5) = 5, since -5 is negative. The absolute value is always positive.
For the inequality |7 + 8<em>x</em>| > 5, you consider the two cases where the argument to the absolute value (the expression you find inside the bars) is either positive or negative.
• If 7 + 8<em>x</em> ≥ 0, then |7 + 8<em>x</em>| = 7 + 8<em>x</em>, so that
• Otherwise, if 7 + 8<em>x</em> < 0, then |7 + 8<em>x</em>| = -(7 + 8<em>x</em>), so that
The solution to the inequality is the union of these two intervals.
Answer:
18 miles
Step-by-step explanation:
Let's call it's initial elevation x. Because it descends 3 miles, we now have x - 3. The question says it is now 15 miles above sea level, or x - 3 = 15, and adding 3 to both sides shows that x = 18 miles.
Well, It would be hard to write out the formula and everything here so I wrote it out for you! Work shown!
